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Let be an acute angle. Use a calculator to approximate the measure of to the nearest tenth of a degree.

Question

Let be an acute angle.

Use a calculator to approximate the measure of to the nearest tenth of a degree.

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Solution

To determine the measure of the acute angle using a calculator, follow these steps:

1. ### Break Down the Problem

Since the problem does not specify a particular angle or specific trigonometric function, let's assume we are working with a function like sine, cosine, or tangent. If a specific value was to be used, please provide it to get a precise answer.

2. ### Relevant Concepts

For an acute angle θ \theta :

  • If we know sin(θ)\sin(\theta), cos(θ)\cos(\theta), or tan(θ)\tan(\theta), we can compute θ \theta using the inverse trigonometric functions:
    • θ=arcsin(x) \theta = \arcsin(x) for sine
    • θ=arccos(x) \theta = \arccos(x) for cosine
    • θ=arctan(x) \theta = \arctan(x) for tangent

3. ### Analysis and Detail

  1. Enter the known value into the calculator depending on the trigonometric function you're using.
  2. Use the appropriate inverse function to find the angle.
  3. Make sure to set the calculator to degree mode (not radians) for results in degrees.

4. ### Verify and Summarize

Double-checking with a calculator ensures that the value you have calculated is accurate to the nearest tenth of a degree.

Final Answer

Since the specific trigonometric function or known value wasn’t provided, please provide that information to get the measure of the angle θ \theta accurately.

This problem has been solved

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